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Finding the Fourth Proportional to 100,698.88, 138,967.60 and 55,381

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Solution

The fourth proportional to 100,698.88, 138,967.60 and 55,381 is: 76,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698.88 : 138,967.60 = 55,381 : x
  2. Step 2: Convert to fraction form
    100,698.88/138,967.60 = 55,381/x
  3. Step 3: Cross multiply
    100,698.88x = 138,967.60 × 55,381
  4. Step 4: Simplify right side
    100,698.88x = 7,696,164,655.60
  5. Step 5: Solve for x
    x = 7,696,164,655.60/100,698.88
  6. Step 6: Final answer
    x = 76,427.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.